Answer:
C
Step-by-step explanation:
3*3^2+8/2-(4+3)=27+4-7=24
The product of 167 and
is ![167b](https://tex.z-dn.net/?f=167b)
65 less than this quantity is ![167b-65](https://tex.z-dn.net/?f=%20167b-65)
Answer:
no . 3
Step-by-step explanation:
<h2>please mark me brainliest</h2>
Answer:
125/9
Step-by-step explanation:
(5)(5)(5/9)
25(5/9)
125/9
Answer:
"35.84 years" is the appropriate solution.
Step-by-step explanation:
The given values are:
Rate of savings generation,
![s'(t)=300e^{\frac{t}{20} }](https://tex.z-dn.net/?f=s%27%28t%29%3D300e%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D)
System cost to install,
= $30000
Now,
The total savings will be:
⇒ ![s(t)=\int\limits s'(t) \ dt](https://tex.z-dn.net/?f=s%28t%29%3D%5Cint%5Climits%20s%27%28t%29%20%5C%20dt)
On substituting the values, we get
⇒ ![= \int\limits 300e^{\frac{t}{20} } \ dt](https://tex.z-dn.net/?f=%3D%20%5Cint%5Climits%20300e%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D%20%5C%20dt)
⇒ ![s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c](https://tex.z-dn.net/?f=s%28t%29%3D%5Cfrac%7B300e%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D%7D%7B%5Cfrac%7B1%7D%7B20%7D%20%7D%2Bc)
When,
Savings = 0
t = 0, then
⇒ ![0=6000e^o+c](https://tex.z-dn.net/?f=0%3D6000e%5Eo%2Bc)
⇒ ![c=-6000](https://tex.z-dn.net/?f=c%3D-6000)
The formula will be:
⇒ ![s(t)=6000[e^{\frac{t}{20} }-1]](https://tex.z-dn.net/?f=s%28t%29%3D6000%5Be%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D-1%5D)
On putting the values in the above formula, we get
⇒ ![30000=6000(e^{\frac{t}{20} }-1)](https://tex.z-dn.net/?f=30000%3D6000%28e%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D-1%29)
![5=e^{\frac{t}{20}}-1](https://tex.z-dn.net/?f=5%3De%5E%7B%5Cfrac%7Bt%7D%7B20%7D%7D-1)
![e^{\frac{t}{20} }=6](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7Bt%7D%7B20%7D%20%7D%3D6)
On taking log, we get
⇒ ![\frac{t}{20} =log \ 6](https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B20%7D%20%3Dlog%20%5C%206)
![t=20 log 6](https://tex.z-dn.net/?f=t%3D20%20log%206)